Question

A2. A path 1 m wide is constructed along the border inside a square park of side 20 m. Find the
cost of covering the remaining portion of the park by grass at the rate of $2.50 per sq m.​

Answer 1

Answer:

Let ABCD, the square garden of side = 20 m.

PQRS is the region inside the garden.

so,

PQ = (20-1-1) = 18 m

PS = (20–1–1) = 18 m

(i) Area of the path = Area of ABCD – Area of PQRS

= [( 20 x 20) – (18 x 18)]

= 400 – 324

= 76 sq.m

(ii) Area of the remaining portion in which the grass is planted = Area of square PQRS

= 18 x 18

= 324 sq.m

Cost of planting the grass in the region PQRS = area x cost

= 324 x 2.50

= ₹ 810

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